ANALYSIS
SEMINAR

"Interpolating basis in the space
of infinitely differentiable functions on [-1,1]"

By

Alexander Goncharov

(Bilkent University)

Abstract: An interpolating Schauder basis in the space of
infinitely differentiable functions on [-1,1] is suggested. In the construction
we use Newton's interpolation of functions at the sequence that was found
recently by Jean-Paul Calvi and Phung Van Manh. Together with bases in the
spaces of Whitney functions on  rarefied Cantor-type sets it gives a
unified approach for constructing bases in spaces of infinitely differentiable
functions and their traces on compact sets.

Tea and cookies will be served before the
seminar.

Date:
Tuesday, November 1, 2011

Time: 15.40 – 16:30

Place: Mathematics Seminar Room,
SA-141